English

Tidal effects based on GUP-induced effective metric

General Relativity and Quantum Cosmology 2024-06-04 v2

Abstract

In this paper, we study tidal forces in the Schwarzschild black hole whose metric includes explicitly a generalized uncertainty principle (GUP) effect. We also investigate interesting features of the geodesic equations and tidal effects dependent on the GUP parameter α\alpha related to a minimum length. Then, by solving geodesic deviation equations explicitly with appropriate boundary conditions, we show that α\alpha in the effective metric affects both the radial and angular components of the geodesic equation, particularly near the singularities.

Keywords

Cite

@article{arxiv.2403.13608,
  title  = {Tidal effects based on GUP-induced effective metric},
  author = {Soon-Tae Hong and Yong-Wan Kim and Young-Jai Park},
  journal= {arXiv preprint arXiv:2403.13608},
  year   = {2024}
}

Comments

13 pages, 9 figures, version to appear in Communications in Theoretical Physics

R2 v1 2026-06-28T15:27:22.889Z